Separation of Rotational Coordinates from theNhyphen;Electron Diatomic Schrouml;dinger Equation

摘要

A formalism is presented for the exact separation of the centerhyphen;ofhyphen;mass and rotational coordinates from the Schrouml;dinger equation for an arbitrary diatomic system. The use of operator arguments instead of the explicit representations of the rotation group simplifies the procedure. The coupled equations governing the internal motion of the system are obtained and expressed in a new and particularly simple form using angularhyphen;momentum raising and lowering operators. The formalism is carried out for three types of electronic coordinates (separated atom, center of mass of nuclei, and geometric center of nuclei) which differ as to the origin of the electronic coordinates.